/export/starexec/sandbox2/solver/bin/starexec_run_tct_dc /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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WORST_CASE(?,O(n^1))
* Step 1: Bounds WORST_CASE(?,O(n^1))
    + Considered Problem:
        - Strict TRS:
            +(+(x,y),minus(y)) -> x
            +(minus(x),+(x,y)) -> y
            minus(minus(x)) -> x
            minux(+(x,y)) -> +(minus(y),minus(x))
        - Signature:
            {+/2,minus/1,minux/1} / {}
        - Obligation:
             derivational complexity wrt. signature {+,minus,minux}
    + Applied Processor:
        Bounds {initialAutomaton = minimal, enrichment = match}
    + Details:
        The problem is match-bounded by 1.
        The enriched problem is compatible with follwoing automaton.
          +_0(1,1) -> 1
          +_0(1,1) -> 2
          +_0(1,1) -> 3
          +_1(2,3) -> 1
          +_1(2,3) -> 2
          +_1(2,3) -> 3
          minus_0(1) -> 1
          minus_0(1) -> 2
          minus_0(1) -> 3
          minus_1(1) -> 1
          minus_1(1) -> 2
          minus_1(1) -> 3
          minus_1(2) -> 1
          minus_1(2) -> 2
          minus_1(2) -> 3
          minus_1(3) -> 1
          minus_1(3) -> 2
          minus_1(3) -> 3
          minux_0(1) -> 1
          minux_0(1) -> 2
          minux_0(1) -> 3
          1 -> 2
          1 -> 3
          2 -> 1
          2 -> 3
          3 -> 1
          3 -> 2
* Step 2: EmptyProcessor WORST_CASE(?,O(1))
    + Considered Problem:
        - Weak TRS:
            +(+(x,y),minus(y)) -> x
            +(minus(x),+(x,y)) -> y
            minus(minus(x)) -> x
            minux(+(x,y)) -> +(minus(y),minus(x))
        - Signature:
            {+/2,minus/1,minux/1} / {}
        - Obligation:
             derivational complexity wrt. signature {+,minus,minux}
    + Applied Processor:
        EmptyProcessor
    + Details:
        The problem is already closed. The intended complexity is O(1).

WORST_CASE(?,O(n^1))